Paul, Kevin, Justin, and David will share the cost of buying a fishing boat.

All prime numbers are odd with the exception of two. Hence, if we consider the sum of the first million primes, it consists of one even number combined with 999,999 odd numbers. Since the product of an odd number multiplied by another odd number results in an odd number, we conclude that the sum must be an odd number, being even + odd = odd.

It's clear that an odd number ends with an odd digit, so the only digit that can be eliminated is b (an even digit).

<span>-|2x-10|-1=2 has ZERO solutions since the absolute value function cannot yield negative outcomes. It can equal 0 or be positive, but it can never be negative.

</span>

Answer:

a.[144;158]$

b. The parameter being estimated is the average weekly food expenses of American families.

Step-by-step explanation:

Hello!

The variable studied here represents "Weekly food expenses incurred by an American family"($)

From a sample of n=1014 American families, the sample mean is x[bar]=$151

It is indicated that for the 95% confidence interval, the margin of error is ±$7

a.

The estimated confidence interval for the population mean is formed as "estimator ± margin of error." In a Standard Normal distribution, the confidence interval formula is:

[x[bar]±*(δ/√n)]

For the provided sample, we have:

[151±7]

The lower limit equates to 144$

The upper limit amounts to 158$

b.

The parameter being contemplated is the average weekly food expenses of American families.

The confidence level for this interval reflects the likelihood that if 100 such intervals were constructed, approximately 95 would encompass the true value of the population mean we aim to estimate.

Wishing you a wonderful day!

1. Calculate 10% of 250 (250 × 0.10 = 25)
2. Subtract that from 250 (250 - 25 = 225)
3. Then find 16% of 225 (225 × 0.16 = 36)
4. Add 225 and 36 to get 261
5. Therefore, the target number of consumers retained is 261

Answer:

Rotation = 1.

Reflection = 5 or 4.

Step-by-step explanation:

A regular octagon is defined as an octagon with eight equal sides.

To appropriately color one diagonal red and the other blue, ensuring they intersect (inside), we can follow these steps:

=> First, color one diagonal red.

=> Fix the position of another end.

=> Identify the possibilities.

The outcome can be derived from Burnside's Lemma resulting in Rotation = 1 and Reflection = 5 or 4.